Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz 37 (1992) APPLICATIONS OF MATHEMATICS No. 6, 419-436 REMARKS ON POLYNOMIAL METHODS FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS KRZYSZTOF MOSZYNSKI
We propose a numerical method for the initial (and boundary) value problem for the equation of the form u t + Au = 0 where A is an unbounded, selfadjoint operator with negative spectrum. Roundoff errors in the numerical solution of such problem may generate a parasite term growing very quickly with time. To eliminate this parasite term, we apply a special finite difference equation with r free parameters. Similar ideas may be useful also for another numerically difficult differential problems. Classification (1991): 65M06, 65M12, 65M15
Mathematics Subject
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